Fading regularization MFS algorithm for inverse boundary value problems in two-dimensional linear elasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:78-79

Article

Marin, Liviu^1,2  Delvare, Franck^3,4,5  Cimetiere, Alain⁶ 

[1] Univ Bucharest, Fac Math & Comp Sci, Dept Math, Bucharest 010014, Romania

[2] Romanian Acad, Inst Solid Mech, Bucharest 010141, Romania

[3] Normandie Univ, Normandie, France

[4] LMNO, UNICAEN, F-14032 Caen, France

[5] CNRS, UMR 6139, F-14032 Caen, France

[6] Univ Poitiers, CNRS, ENSMA, Inst Pprime, F-86962 Futuroscope, France

关键词: Linear elasticity;    Inverse boundary value problem;    Cauchy problem;    Regularization;    Method of fundamental solutions (MFS);    Iterative method;   

DOI  :  10.1016/j.ijsolstr.2015.09.022

来源: Elsevier

【 摘 要 】

We investigate the numerical reconstruction of the missing displacements (Dirichlet data) and tractions (Neumann data) on an inaccessible part of the boundary in the case of two-dimensional linear isotropic elastic materials from the knowledge of over-prescribed noisy measurements taken on the remaining accessible boundary part. This inverse problem is solved using the fading regularization method, originally proposed by Cimetiere et al. (2000, 2001) for the Laplace equation, in conjunction with a meshless method, namely the method of fundamental solutions (MFS). The stabilisation of the numerical method proposed herein is achieved by stopping the iterative procedure according to Morozov's discrepancy principle (Morozov, 1966). (C) 2015 Elsevier Ltd. All rights reserved.

【 授权许可】

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